What is the Greatest Common Factor of 62076 and 62094?

Greatest common factor (GCF) of 62076 and 62094 is 6.

GCF(62076,62094) = 6

We will now calculate the prime factors of 62076 and 62094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62076 and 62094.

How to find the GCF of 62076 and 62094?

We will first find the prime factorization of 62076 and 62094. After we will calculate the factors of 62076 and 62094 and find the biggest common factor number .

Step-1: Prime Factorization of 62076

Prime factors of 62076 are 2, 3, 7, 739. Prime factorization of 62076 in exponential form is:

62076 = 2² × 3¹ × 7¹ × 739¹

Step-2: Prime Factorization of 62094

Prime factors of 62094 are 2, 3, 79, 131. Prime factorization of 62094 in exponential form is:

62094 = 2¹ × 3¹ × 79¹ × 131¹

Step-3: Factors of 62076

List of positive integer factors of 62076 that divides 62076 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 739, 1478, 2217, 2956, 4434, 5173, 8868, 10346, 15519, 20692, 31038

Step-4: Factors of 62094

List of positive integer factors of 62094 that divides 62076 without a remainder.

1, 2, 3, 6, 79, 131, 158, 237, 262, 393, 474, 786, 10349, 20698, 31047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62076 and 62094. The biggest common factor number is the GCF number.
So the greatest common factor 62076 and 62094 is 6.

Also check out the Least Common Multiple of 62076 and 62094