What is the Greatest Common Factor of 58674 and 58680?
Greatest common factor (GCF) of 58674 and 58680 is 6.
GCF(58674,58680) = 6
We will now calculate the prime factors of 58674 and 58680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58674 and 58680.
How to find the GCF of 58674 and 58680?
We will first find the prime factorization of 58674 and 58680. After we will calculate the factors of 58674 and 58680 and find the biggest common factor number .
Step-1: Prime Factorization of 58674
Prime factors of 58674 are 2, 3, 7, 11, 127. Prime factorization of 58674 in exponential form is:
58674 = 21 × 31 × 71 × 111 × 1271
Step-2: Prime Factorization of 58680
Prime factors of 58680 are 2, 3, 5, 163. Prime factorization of 58680 in exponential form is:
58680 = 23 × 32 × 51 × 1631
Step-3: Factors of 58674
List of positive integer factors of 58674 that divides 58674 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 127, 154, 231, 254, 381, 462, 762, 889, 1397, 1778, 2667, 2794, 4191, 5334, 8382, 9779, 19558, 29337
Step-4: Factors of 58680
List of positive integer factors of 58680 that divides 58674 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 163, 180, 326, 360, 489, 652, 815, 978, 1304, 1467, 1630, 1956, 2445, 2934, 3260, 3912, 4890, 5868, 6520, 7335, 9780, 11736, 14670, 19560, 29340
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58674 and 58680. The biggest common factor number is the GCF number.
So the greatest common factor 58674 and 58680 is 6.
Also check out the Least Common Multiple of 58674 and 58680
Related Greatest Common Factors of 58674
- GCF of 58674 and 58678
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- GCF of 58674 and 58683
- GCF of 58674 and 58684
- GCF of 58674 and 58685
- GCF of 58674 and 58686
- GCF of 58674 and 58687
- GCF of 58674 and 58688
- GCF of 58674 and 58689
- GCF of 58674 and 58690
- GCF of 58674 and 58691
- GCF of 58674 and 58692
- GCF of 58674 and 58693
- GCF of 58674 and 58694
Related Greatest Common Factors of 58680
- GCF of 58680 and 58684
- GCF of 58680 and 58685
- GCF of 58680 and 58686
- GCF of 58680 and 58687
- GCF of 58680 and 58688
- GCF of 58680 and 58689
- GCF of 58680 and 58690
- GCF of 58680 and 58691
- GCF of 58680 and 58692
- GCF of 58680 and 58693
- GCF of 58680 and 58694
- GCF of 58680 and 58695
- GCF of 58680 and 58696
- GCF of 58680 and 58697
- GCF of 58680 and 58698
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