What is the Greatest Common Factor of 62952 and 62967?

Greatest common factor (GCF) of 62952 and 62967 is 3.

GCF(62952,62967) = 3

We will now calculate the prime factors of 62952 and 62967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62952 and 62967.

How to find the GCF of 62952 and 62967?

We will first find the prime factorization of 62952 and 62967. After we will calculate the factors of 62952 and 62967 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 62967

Prime factors of 62967 are 3, 139, 151. Prime factorization of 62967 in exponential form is:

62967 = 3¹ × 139¹ × 151¹

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 62967

List of positive integer factors of 62967 that divides 62952 without a remainder.

1, 3, 139, 151, 417, 453, 20989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62952 and 62967. The biggest common factor number is the GCF number.
So the greatest common factor 62952 and 62967 is 3.

Also check out the Least Common Multiple of 62952 and 62967