What is the Greatest Common Factor of 62952 and 62971?

Greatest common factor (GCF) of 62952 and 62971 is 1.

GCF(62952,62971) = 1

We will now calculate the prime factors of 62952 and 62971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62952 and 62971.

How to find the GCF of 62952 and 62971?

We will first find the prime factorization of 62952 and 62971. After we will calculate the factors of 62952 and 62971 and find the biggest common factor number .

Step-1: Prime Factorization of 62952

Prime factors of 62952 are 2, 3, 43, 61. Prime factorization of 62952 in exponential form is:

62952 = 2³ × 3¹ × 43¹ × 61¹

Step-2: Prime Factorization of 62971

Prime factors of 62971 are 62971. Prime factorization of 62971 in exponential form is:

62971 = 62971¹

Step-3: Factors of 62952

List of positive integer factors of 62952 that divides 62952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 61, 86, 122, 129, 172, 183, 244, 258, 344, 366, 488, 516, 732, 1032, 1464, 2623, 5246, 7869, 10492, 15738, 20984, 31476

Step-4: Factors of 62971

List of positive integer factors of 62971 that divides 62952 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62952 and 62971. The biggest common factor number is the GCF number.
So the greatest common factor 62952 and 62971 is 1.

Also check out the Least Common Multiple of 62952 and 62971