What is the Greatest Common Factor of 95628 and 95642?
Greatest common factor (GCF) of 95628 and 95642 is 2.
GCF(95628,95642) = 2
We will now calculate the prime factors of 95628 and 95642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95628 and 95642.
How to find the GCF of 95628 and 95642?
We will first find the prime factorization of 95628 and 95642. After we will calculate the factors of 95628 and 95642 and find the biggest common factor number .
Step-1: Prime Factorization of 95628
Prime factors of 95628 are 2, 3, 13, 613. Prime factorization of 95628 in exponential form is:
95628 = 22 × 31 × 131 × 6131
Step-2: Prime Factorization of 95642
Prime factors of 95642 are 2, 17, 29, 97. Prime factorization of 95642 in exponential form is:
95642 = 21 × 171 × 291 × 971
Step-3: Factors of 95628
List of positive integer factors of 95628 that divides 95628 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 613, 1226, 1839, 2452, 3678, 7356, 7969, 15938, 23907, 31876, 47814
Step-4: Factors of 95642
List of positive integer factors of 95642 that divides 95628 without a remainder.
1, 2, 17, 29, 34, 58, 97, 194, 493, 986, 1649, 2813, 3298, 5626, 47821
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 95628 and 95642. The biggest common factor number is the GCF number.
So the greatest common factor 95628 and 95642 is 2.
Also check out the Least Common Multiple of 95628 and 95642
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