What is the Greatest Common Factor of 97570 and 97590?
Greatest common factor (GCF) of 97570 and 97590 is 10.
GCF(97570,97590) = 10
We will now calculate the prime factors of 97570 and 97590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97570 and 97590.
How to find the GCF of 97570 and 97590?
We will first find the prime factorization of 97570 and 97590. After we will calculate the factors of 97570 and 97590 and find the biggest common factor number .
Step-1: Prime Factorization of 97570
Prime factors of 97570 are 2, 5, 11, 887. Prime factorization of 97570 in exponential form is:
97570 = 21 × 51 × 111 × 8871
Step-2: Prime Factorization of 97590
Prime factors of 97590 are 2, 3, 5, 3253. Prime factorization of 97590 in exponential form is:
97590 = 21 × 31 × 51 × 32531
Step-3: Factors of 97570
List of positive integer factors of 97570 that divides 97570 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110, 887, 1774, 4435, 8870, 9757, 19514, 48785
Step-4: Factors of 97590
List of positive integer factors of 97590 that divides 97570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 3253, 6506, 9759, 16265, 19518, 32530, 48795
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 97570 and 97590. The biggest common factor number is the GCF number.
So the greatest common factor 97570 and 97590 is 10.
Also check out the Least Common Multiple of 97570 and 97590
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