What is the Greatest Common Factor of 60952 and 60965?

Greatest common factor (GCF) of 60952 and 60965 is 1.

GCF(60952,60965) = 1

We will now calculate the prime factors of 60952 and 60965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60952 and 60965.

How to find the GCF of 60952 and 60965?

We will first find the prime factorization of 60952 and 60965. After we will calculate the factors of 60952 and 60965 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 60965

Prime factors of 60965 are 5, 89, 137. Prime factorization of 60965 in exponential form is:

60965 = 5¹ × 89¹ × 137¹

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 60965

List of positive integer factors of 60965 that divides 60952 without a remainder.

1, 5, 89, 137, 445, 685, 12193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60952 and 60965. The biggest common factor number is the GCF number.
So the greatest common factor 60952 and 60965 is 1.

Also check out the Least Common Multiple of 60952 and 60965