What is the Greatest Common Factor of 49569 and 49576?

Greatest common factor (GCF) of 49569 and 49576 is 1.

GCF(49569,49576) = 1

We will now calculate the prime factors of 49569 and 49576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49569 and 49576.

How to find the GCF of 49569 and 49576?

We will first find the prime factorization of 49569 and 49576. After we will calculate the factors of 49569 and 49576 and find the biggest common factor number .

Step-1: Prime Factorization of 49569

Prime factors of 49569 are 3, 13, 31, 41. Prime factorization of 49569 in exponential form is:

49569 = 3¹ × 13¹ × 31¹ × 41¹

Step-2: Prime Factorization of 49576

Prime factors of 49576 are 2, 6197. Prime factorization of 49576 in exponential form is:

49576 = 2³ × 6197¹

Step-3: Factors of 49569

List of positive integer factors of 49569 that divides 49569 without a remainder.

1, 3, 13, 31, 39, 41, 93, 123, 403, 533, 1209, 1271, 1599, 3813, 16523

Step-4: Factors of 49576

List of positive integer factors of 49576 that divides 49569 without a remainder.

1, 2, 4, 8, 6197, 12394, 24788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49569 and 49576. The biggest common factor number is the GCF number.
So the greatest common factor 49569 and 49576 is 1.

Also check out the Least Common Multiple of 49569 and 49576