What is the Greatest Common Factor of 49677 and 49692?

Greatest common factor (GCF) of 49677 and 49692 is 3.

GCF(49677,49692) = 3

We will now calculate the prime factors of 49677 and 49692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49677 and 49692.

How to find the GCF of 49677 and 49692?

We will first find the prime factorization of 49677 and 49692. After we will calculate the factors of 49677 and 49692 and find the biggest common factor number .

Step-1: Prime Factorization of 49677

Prime factors of 49677 are 3, 29, 571. Prime factorization of 49677 in exponential form is:

49677 = 3¹ × 29¹ × 571¹

Step-2: Prime Factorization of 49692

Prime factors of 49692 are 2, 3, 41, 101. Prime factorization of 49692 in exponential form is:

49692 = 2² × 3¹ × 41¹ × 101¹

Step-3: Factors of 49677

List of positive integer factors of 49677 that divides 49677 without a remainder.

1, 3, 29, 87, 571, 1713, 16559

Step-4: Factors of 49692

List of positive integer factors of 49692 that divides 49677 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 101, 123, 164, 202, 246, 303, 404, 492, 606, 1212, 4141, 8282, 12423, 16564, 24846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49677 and 49692. The biggest common factor number is the GCF number.
So the greatest common factor 49677 and 49692 is 3.

Also check out the Least Common Multiple of 49677 and 49692