What is the Greatest Common Factor of 62780 and 62796?

Greatest common factor (GCF) of 62780 and 62796 is 4.

GCF(62780,62796) = 4

We will now calculate the prime factors of 62780 and 62796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62780 and 62796.

How to find the GCF of 62780 and 62796?

We will first find the prime factorization of 62780 and 62796. After we will calculate the factors of 62780 and 62796 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 62796

Prime factors of 62796 are 2, 3, 5233. Prime factorization of 62796 in exponential form is:

62796 = 2² × 3¹ × 5233¹

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 62796

List of positive integer factors of 62796 that divides 62780 without a remainder.

1, 2, 3, 4, 6, 12, 5233, 10466, 15699, 20932, 31398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62780 and 62796. The biggest common factor number is the GCF number.
So the greatest common factor 62780 and 62796 is 4.

Also check out the Least Common Multiple of 62780 and 62796