What is the Greatest Common Factor of 62952 and 62966?

Greatest common factor (GCF) of 62952 and 62966 is 2.

GCF(62952,62966) = 2

We will now calculate the prime factors of 62952 and 62966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62952 and 62966.

How to find the GCF of 62952 and 62966?

We will first find the prime factorization of 62952 and 62966. After we will calculate the factors of 62952 and 62966 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 62966

Prime factors of 62966 are 2, 19, 1657. Prime factorization of 62966 in exponential form is:

62966 = 2¹ × 19¹ × 1657¹

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 62966

List of positive integer factors of 62966 that divides 62952 without a remainder.

1, 2, 19, 38, 1657, 3314, 31483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62952 and 62966. The biggest common factor number is the GCF number.
So the greatest common factor 62952 and 62966 is 2.

Also check out the Least Common Multiple of 62952 and 62966