What is the Greatest Common Factor of 97950 and 97955?

Greatest common factor (GCF) of 97950 and 97955 is 5.

GCF(97950,97955) = 5

We will now calculate the prime factors of 97950 and 97955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97950 and 97955.

How to find the GCF of 97950 and 97955?

We will first find the prime factorization of 97950 and 97955. After we will calculate the factors of 97950 and 97955 and find the biggest common factor number .

Step-1: Prime Factorization of 97950

Prime factors of 97950 are 2, 3, 5, 653. Prime factorization of 97950 in exponential form is:

97950 = 2¹ × 3¹ × 5² × 653¹

Step-2: Prime Factorization of 97955

Prime factors of 97955 are 5, 11, 13, 137. Prime factorization of 97955 in exponential form is:

97955 = 5¹ × 11¹ × 13¹ × 137¹

Step-3: Factors of 97950

List of positive integer factors of 97950 that divides 97950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 653, 1306, 1959, 3265, 3918, 6530, 9795, 16325, 19590, 32650, 48975

Step-4: Factors of 97955

List of positive integer factors of 97955 that divides 97950 without a remainder.

1, 5, 11, 13, 55, 65, 137, 143, 685, 715, 1507, 1781, 7535, 8905, 19591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97950 and 97955. The biggest common factor number is the GCF number.
So the greatest common factor 97950 and 97955 is 5.

Also check out the Least Common Multiple of 97950 and 97955