What is the Greatest Common Factor of 62750 and 62755?

Greatest common factor (GCF) of 62750 and 62755 is 5.

GCF(62750,62755) = 5

We will now calculate the prime factors of 62750 and 62755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62750 and 62755.

How to find the GCF of 62750 and 62755?

We will first find the prime factorization of 62750 and 62755. After we will calculate the factors of 62750 and 62755 and find the biggest common factor number .

Step-1: Prime Factorization of 62750

Prime factors of 62750 are 2, 5, 251. Prime factorization of 62750 in exponential form is:

62750 = 2¹ × 5³ × 251¹

Step-2: Prime Factorization of 62755

Prime factors of 62755 are 5, 7, 11, 163. Prime factorization of 62755 in exponential form is:

62755 = 5¹ × 7¹ × 11¹ × 163¹

Step-3: Factors of 62750

List of positive integer factors of 62750 that divides 62750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 251, 502, 1255, 2510, 6275, 12550, 31375

Step-4: Factors of 62755

List of positive integer factors of 62755 that divides 62750 without a remainder.

1, 5, 7, 11, 35, 55, 77, 163, 385, 815, 1141, 1793, 5705, 8965, 12551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62750 and 62755. The biggest common factor number is the GCF number.
So the greatest common factor 62750 and 62755 is 5.

Also check out the Least Common Multiple of 62750 and 62755