What is the Greatest Common Factor of 39762 and 39777?

Greatest common factor (GCF) of 39762 and 39777 is 3.

GCF(39762,39777) = 3

We will now calculate the prime factors of 39762 and 39777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39762 and 39777.

How to find the GCF of 39762 and 39777?

We will first find the prime factorization of 39762 and 39777. After we will calculate the factors of 39762 and 39777 and find the biggest common factor number .

Step-1: Prime Factorization of 39762

Prime factors of 39762 are 2, 3, 47. Prime factorization of 39762 in exponential form is:

39762 = 2¹ × 3² × 47²

Step-2: Prime Factorization of 39777

Prime factors of 39777 are 3, 13259. Prime factorization of 39777 in exponential form is:

39777 = 3¹ × 13259¹

Step-3: Factors of 39762

List of positive integer factors of 39762 that divides 39762 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846, 2209, 4418, 6627, 13254, 19881

Step-4: Factors of 39777

List of positive integer factors of 39777 that divides 39762 without a remainder.

1, 3, 13259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39762 and 39777. The biggest common factor number is the GCF number.
So the greatest common factor 39762 and 39777 is 3.

Also check out the Least Common Multiple of 39762 and 39777