What is the Greatest Common Factor of 99625 and 99636?
Greatest common factor (GCF) of 99625 and 99636 is 1.
GCF(99625,99636) = 1
We will now calculate the prime factors of 99625 and 99636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99625 and 99636.
How to find the GCF of 99625 and 99636?
We will first find the prime factorization of 99625 and 99636. After we will calculate the factors of 99625 and 99636 and find the biggest common factor number .
Step-1: Prime Factorization of 99625
Prime factors of 99625 are 5, 797. Prime factorization of 99625 in exponential form is:
99625 = 53 × 7971
Step-2: Prime Factorization of 99636
Prime factors of 99636 are 2, 3, 19, 23. Prime factorization of 99636 in exponential form is:
99636 = 22 × 31 × 192 × 231
Step-3: Factors of 99625
List of positive integer factors of 99625 that divides 99625 without a remainder.
1, 5, 25, 125, 797, 3985, 19925
Step-4: Factors of 99636
List of positive integer factors of 99636 that divides 99625 without a remainder.
1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 361, 437, 722, 874, 1083, 1311, 1444, 1748, 2166, 2622, 4332, 5244, 8303, 16606, 24909, 33212, 49818
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 99625 and 99636. The biggest common factor number is the GCF number.
So the greatest common factor 99625 and 99636 is 1.
Also check out the Least Common Multiple of 99625 and 99636
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