What is the Greatest Common Factor of 62755 and 62760?

Greatest common factor (GCF) of 62755 and 62760 is 5.

GCF(62755,62760) = 5

We will now calculate the prime factors of 62755 and 62760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62755 and 62760.

How to find the GCF of 62755 and 62760?

We will first find the prime factorization of 62755 and 62760. After we will calculate the factors of 62755 and 62760 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62760

Prime factors of 62760 are 2, 3, 5, 523. Prime factorization of 62760 in exponential form is:

62760 = 2³ × 3¹ × 5¹ × 523¹

Step-3: Factors of 62755

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

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

Step-4: Factors of 62760

List of positive integer factors of 62760 that divides 62755 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 523, 1046, 1569, 2092, 2615, 3138, 4184, 5230, 6276, 7845, 10460, 12552, 15690, 20920, 31380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62755 and 62760. The biggest common factor number is the GCF number.
So the greatest common factor 62755 and 62760 is 5.

Also check out the Least Common Multiple of 62755 and 62760