What is the Greatest Common Factor of 62076 and 62090?

Greatest common factor (GCF) of 62076 and 62090 is 14.

GCF(62076,62090) = 14

We will now calculate the prime factors of 62076 and 62090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62076 and 62090.

How to find the GCF of 62076 and 62090?

We will first find the prime factorization of 62076 and 62090. After we will calculate the factors of 62076 and 62090 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 62090

Prime factors of 62090 are 2, 5, 7, 887. Prime factorization of 62090 in exponential form is:

62090 = 2¹ × 5¹ × 7¹ × 887¹

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 62090

List of positive integer factors of 62090 that divides 62076 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 887, 1774, 4435, 6209, 8870, 12418, 31045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62076 and 62090. The biggest common factor number is the GCF number.
So the greatest common factor 62076 and 62090 is 14.

Also check out the Least Common Multiple of 62076 and 62090