What is the Greatest Common Factor of 89642 and 89650?
Greatest common factor (GCF) of 89642 and 89650 is 2.
GCF(89642,89650) = 2
We will now calculate the prime factors of 89642 and 89650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89642 and 89650.
How to find the GCF of 89642 and 89650?
We will first find the prime factorization of 89642 and 89650. After we will calculate the factors of 89642 and 89650 and find the biggest common factor number .
Step-1: Prime Factorization of 89642
Prime factors of 89642 are 2, 7, 19, 337. Prime factorization of 89642 in exponential form is:
89642 = 21 × 71 × 191 × 3371
Step-2: Prime Factorization of 89650
Prime factors of 89650 are 2, 5, 11, 163. Prime factorization of 89650 in exponential form is:
89650 = 21 × 52 × 111 × 1631
Step-3: Factors of 89642
List of positive integer factors of 89642 that divides 89642 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266, 337, 674, 2359, 4718, 6403, 12806, 44821
Step-4: Factors of 89650
List of positive integer factors of 89650 that divides 89642 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 163, 275, 326, 550, 815, 1630, 1793, 3586, 4075, 8150, 8965, 17930, 44825
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 89642 and 89650. The biggest common factor number is the GCF number.
So the greatest common factor 89642 and 89650 is 2.
Also check out the Least Common Multiple of 89642 and 89650
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Related Greatest Common Factors of 89650
- GCF of 89650 and 89654
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