What is the Greatest Common Factor of 62670 and 62690?

Greatest common factor (GCF) of 62670 and 62690 is 10.

GCF(62670,62690) = 10

We will now calculate the prime factors of 62670 and 62690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62670 and 62690.

How to find the GCF of 62670 and 62690?

We will first find the prime factorization of 62670 and 62690. After we will calculate the factors of 62670 and 62690 and find the biggest common factor number .

Step-1: Prime Factorization of 62670

Prime factors of 62670 are 2, 3, 5, 2089. Prime factorization of 62670 in exponential form is:

62670 = 2¹ × 3¹ × 5¹ × 2089¹

Step-2: Prime Factorization of 62690

Prime factors of 62690 are 2, 5, 6269. Prime factorization of 62690 in exponential form is:

62690 = 2¹ × 5¹ × 6269¹

Step-3: Factors of 62670

List of positive integer factors of 62670 that divides 62670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2089, 4178, 6267, 10445, 12534, 20890, 31335

Step-4: Factors of 62690

List of positive integer factors of 62690 that divides 62670 without a remainder.

1, 2, 5, 10, 6269, 12538, 31345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62670 and 62690. The biggest common factor number is the GCF number.
So the greatest common factor 62670 and 62690 is 10.

Also check out the Least Common Multiple of 62670 and 62690