What is the Greatest Common Factor of 62650 and 62670?

Greatest common factor (GCF) of 62650 and 62670 is 10.

GCF(62650,62670) = 10

We will now calculate the prime factors of 62650 and 62670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62650 and 62670.

How to find the GCF of 62650 and 62670?

We will first find the prime factorization of 62650 and 62670. After we will calculate the factors of 62650 and 62670 and find the biggest common factor number .

Step-1: Prime Factorization of 62650

Prime factors of 62650 are 2, 5, 7, 179. Prime factorization of 62650 in exponential form is:

62650 = 2¹ × 5² × 7¹ × 179¹

Step-2: 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-3: Factors of 62650

List of positive integer factors of 62650 that divides 62650 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 179, 350, 358, 895, 1253, 1790, 2506, 4475, 6265, 8950, 12530, 31325

Step-4: Factors of 62670

List of positive integer factors of 62670 that divides 62650 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62650 and 62670. The biggest common factor number is the GCF number.
So the greatest common factor 62650 and 62670 is 10.

Also check out the Least Common Multiple of 62650 and 62670