What is the Greatest Common Factor of 97495 and 97512?

Greatest common factor (GCF) of 97495 and 97512 is 17.

GCF(97495,97512) = 17

We will now calculate the prime factors of 97495 and 97512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97495 and 97512.

How to find the GCF of 97495 and 97512?

We will first find the prime factorization of 97495 and 97512. After we will calculate the factors of 97495 and 97512 and find the biggest common factor number .

Step-1: Prime Factorization of 97495

Prime factors of 97495 are 5, 17, 31, 37. Prime factorization of 97495 in exponential form is:

97495 = 5¹ × 17¹ × 31¹ × 37¹

Step-2: Prime Factorization of 97512

Prime factors of 97512 are 2, 3, 17, 239. Prime factorization of 97512 in exponential form is:

97512 = 2³ × 3¹ × 17¹ × 239¹

Step-3: Factors of 97495

List of positive integer factors of 97495 that divides 97495 without a remainder.

1, 5, 17, 31, 37, 85, 155, 185, 527, 629, 1147, 2635, 3145, 5735, 19499

Step-4: Factors of 97512

List of positive integer factors of 97512 that divides 97495 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 239, 408, 478, 717, 956, 1434, 1912, 2868, 4063, 5736, 8126, 12189, 16252, 24378, 32504, 48756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97495 and 97512. The biggest common factor number is the GCF number.
So the greatest common factor 97495 and 97512 is 17.

Also check out the Least Common Multiple of 97495 and 97512