What is the Greatest Common Factor of 62952 and 62970?

Greatest common factor (GCF) of 62952 and 62970 is 6.

GCF(62952,62970) = 6

We will now calculate the prime factors of 62952 and 62970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62952 and 62970.

How to find the GCF of 62952 and 62970?

We will first find the prime factorization of 62952 and 62970. After we will calculate the factors of 62952 and 62970 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 62970

Prime factors of 62970 are 2, 3, 5, 2099. Prime factorization of 62970 in exponential form is:

62970 = 2¹ × 3¹ × 5¹ × 2099¹

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 62970

List of positive integer factors of 62970 that divides 62952 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2099, 4198, 6297, 10495, 12594, 20990, 31485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62952 and 62970. The biggest common factor number is the GCF number.
So the greatest common factor 62952 and 62970 is 6.

Also check out the Least Common Multiple of 62952 and 62970