What is the Greatest Common Factor of 62769 and 62783?

Greatest common factor (GCF) of 62769 and 62783 is 7.

GCF(62769,62783) = 7

We will now calculate the prime factors of 62769 and 62783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62769 and 62783.

How to find the GCF of 62769 and 62783?

We will first find the prime factorization of 62769 and 62783. After we will calculate the factors of 62769 and 62783 and find the biggest common factor number .

Step-1: Prime Factorization of 62769

Prime factors of 62769 are 3, 7, 61. Prime factorization of 62769 in exponential form is:

62769 = 3¹ × 7³ × 61¹

Step-2: Prime Factorization of 62783

Prime factors of 62783 are 7, 8969. Prime factorization of 62783 in exponential form is:

62783 = 7¹ × 8969¹

Step-3: Factors of 62769

List of positive integer factors of 62769 that divides 62769 without a remainder.

1, 3, 7, 21, 49, 61, 147, 183, 343, 427, 1029, 1281, 2989, 8967, 20923

Step-4: Factors of 62783

List of positive integer factors of 62783 that divides 62769 without a remainder.

1, 7, 8969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62769 and 62783. The biggest common factor number is the GCF number.
So the greatest common factor 62769 and 62783 is 7.

Also check out the Least Common Multiple of 62769 and 62783