What is the Greatest Common Factor of 955 and 970?

Greatest common factor (GCF) of 955 and 970 is 5.

GCF(955,970) = 5

We will now calculate the prime factors of 955 and 970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 955 and 970.

How to find the GCF of 955 and 970?

We will first find the prime factorization of 955 and 970. After we will calculate the factors of 955 and 970 and find the biggest common factor number .

Step-1: Prime Factorization of 955

Prime factors of 955 are 5, 191. Prime factorization of 955 in exponential form is:

955 = 5¹ × 191¹

Step-2: Prime Factorization of 970

Prime factors of 970 are 2, 5, 97. Prime factorization of 970 in exponential form is:

970 = 2¹ × 5¹ × 97¹

Step-3: Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1, 5, 191

Step-4: Factors of 970

List of positive integer factors of 970 that divides 955 without a remainder.

1, 2, 5, 10, 97, 194, 485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 955 and 970. The biggest common factor number is the GCF number.
So the greatest common factor 955 and 970 is 5.

Also check out the Least Common Multiple of 955 and 970