What is the Greatest Common Factor of 62780 and 62788?

Greatest common factor (GCF) of 62780 and 62788 is 4.

GCF(62780,62788) = 4

We will now calculate the prime factors of 62780 and 62788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62780 and 62788.

How to find the GCF of 62780 and 62788?

We will first find the prime factorization of 62780 and 62788. After we will calculate the factors of 62780 and 62788 and find the biggest common factor number .

Step-1: Prime Factorization of 62780

Prime factors of 62780 are 2, 5, 43, 73. Prime factorization of 62780 in exponential form is:

62780 = 2² × 5¹ × 43¹ × 73¹

Step-2: Prime Factorization of 62788

Prime factors of 62788 are 2, 11, 1427. Prime factorization of 62788 in exponential form is:

62788 = 2² × 11¹ × 1427¹

Step-3: Factors of 62780

List of positive integer factors of 62780 that divides 62780 without a remainder.

1, 2, 4, 5, 10, 20, 43, 73, 86, 146, 172, 215, 292, 365, 430, 730, 860, 1460, 3139, 6278, 12556, 15695, 31390

Step-4: Factors of 62788

List of positive integer factors of 62788 that divides 62780 without a remainder.

1, 2, 4, 11, 22, 44, 1427, 2854, 5708, 15697, 31394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62780 and 62788. The biggest common factor number is the GCF number.
So the greatest common factor 62780 and 62788 is 4.

Also check out the Least Common Multiple of 62780 and 62788