What is the Greatest Common Factor of 62749 and 62756?

Greatest common factor (GCF) of 62749 and 62756 is 1.

GCF(62749,62756) = 1

We will now calculate the prime factors of 62749 and 62756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62749 and 62756.

How to find the GCF of 62749 and 62756?

We will first find the prime factorization of 62749 and 62756. After we will calculate the factors of 62749 and 62756 and find the biggest common factor number .

Step-1: Prime Factorization of 62749

Prime factors of 62749 are 131, 479. Prime factorization of 62749 in exponential form is:

62749 = 131¹ × 479¹

Step-2: Prime Factorization of 62756

Prime factors of 62756 are 2, 29, 541. Prime factorization of 62756 in exponential form is:

62756 = 2² × 29¹ × 541¹

Step-3: Factors of 62749

List of positive integer factors of 62749 that divides 62749 without a remainder.

1, 131, 479

Step-4: Factors of 62756

List of positive integer factors of 62756 that divides 62749 without a remainder.

1, 2, 4, 29, 58, 116, 541, 1082, 2164, 15689, 31378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62749 and 62756. The biggest common factor number is the GCF number.
So the greatest common factor 62749 and 62756 is 1.

Also check out the Least Common Multiple of 62749 and 62756