What is the Greatest Common Factor of 97960 and 97975?

Greatest common factor (GCF) of 97960 and 97975 is 5.

GCF(97960,97975) = 5

We will now calculate the prime factors of 97960 and 97975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97960 and 97975.

How to find the GCF of 97960 and 97975?

We will first find the prime factorization of 97960 and 97975. After we will calculate the factors of 97960 and 97975 and find the biggest common factor number .

Step-1: Prime Factorization of 97960

Prime factors of 97960 are 2, 5, 31, 79. Prime factorization of 97960 in exponential form is:

97960 = 2³ × 5¹ × 31¹ × 79¹

Step-2: Prime Factorization of 97975

Prime factors of 97975 are 5, 3919. Prime factorization of 97975 in exponential form is:

97975 = 5² × 3919¹

Step-3: Factors of 97960

List of positive integer factors of 97960 that divides 97960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 79, 124, 155, 158, 248, 310, 316, 395, 620, 632, 790, 1240, 1580, 2449, 3160, 4898, 9796, 12245, 19592, 24490, 48980

Step-4: Factors of 97975

List of positive integer factors of 97975 that divides 97960 without a remainder.

1, 5, 25, 3919, 19595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97960 and 97975. The biggest common factor number is the GCF number.
So the greatest common factor 97960 and 97975 is 5.

Also check out the Least Common Multiple of 97960 and 97975