What is the Greatest Common Factor of 60952 and 60971?

Greatest common factor (GCF) of 60952 and 60971 is 19.

GCF(60952,60971) = 19

We will now calculate the prime factors of 60952 and 60971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60952 and 60971.

How to find the GCF of 60952 and 60971?

We will first find the prime factorization of 60952 and 60971. After we will calculate the factors of 60952 and 60971 and find the biggest common factor number .

Step-1: Prime Factorization of 60952

Prime factors of 60952 are 2, 19, 401. Prime factorization of 60952 in exponential form is:

60952 = 2³ × 19¹ × 401¹

Step-2: Prime Factorization of 60971

Prime factors of 60971 are 19, 3209. Prime factorization of 60971 in exponential form is:

60971 = 19¹ × 3209¹

Step-3: Factors of 60952

List of positive integer factors of 60952 that divides 60952 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 401, 802, 1604, 3208, 7619, 15238, 30476

Step-4: Factors of 60971

List of positive integer factors of 60971 that divides 60952 without a remainder.

1, 19, 3209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60952 and 60971. The biggest common factor number is the GCF number.
So the greatest common factor 60952 and 60971 is 19.

Also check out the Least Common Multiple of 60952 and 60971