What is the Greatest Common Factor of 15617 and 15624?
Greatest common factor (GCF) of 15617 and 15624 is 7.
GCF(15617,15624) = 7
We will now calculate the prime factors of 15617 and 15624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15617 and 15624.
How to find the GCF of 15617 and 15624?
We will first find the prime factorization of 15617 and 15624. After we will calculate the factors of 15617 and 15624 and find the biggest common factor number .
Step-1: Prime Factorization of 15617
Prime factors of 15617 are 7, 23, 97. Prime factorization of 15617 in exponential form is:
15617 = 71 × 231 × 971
Step-2: Prime Factorization of 15624
Prime factors of 15624 are 2, 3, 7, 31. Prime factorization of 15624 in exponential form is:
15624 = 23 × 32 × 71 × 311
Step-3: Factors of 15617
List of positive integer factors of 15617 that divides 15617 without a remainder.
1, 7, 23, 97, 161, 679, 2231
Step-4: Factors of 15624
List of positive integer factors of 15624 that divides 15617 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 31, 36, 42, 56, 62, 63, 72, 84, 93, 124, 126, 168, 186, 217, 248, 252, 279, 372, 434, 504, 558, 651, 744, 868, 1116, 1302, 1736, 1953, 2232, 2604, 3906, 5208, 7812
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15617 and 15624. The biggest common factor number is the GCF number.
So the greatest common factor 15617 and 15624 is 7.
Also check out the Least Common Multiple of 15617 and 15624
Related Greatest Common Factors of 15617
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Related Greatest Common Factors of 15624
- GCF of 15624 and 15628
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- GCF of 15624 and 15630
- GCF of 15624 and 15631
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- GCF of 15624 and 15634
- GCF of 15624 and 15635
- GCF of 15624 and 15636
- GCF of 15624 and 15637
- GCF of 15624 and 15638
- GCF of 15624 and 15639
- GCF of 15624 and 15640
- GCF of 15624 and 15641
- GCF of 15624 and 15642
- GCF of 15624 and 15643
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