What is the Greatest Common Factor of 49567 and 49574?

Greatest common factor (GCF) of 49567 and 49574 is 7.

GCF(49567,49574) = 7

We will now calculate the prime factors of 49567 and 49574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49567 and 49574.

How to find the GCF of 49567 and 49574?

We will first find the prime factorization of 49567 and 49574. After we will calculate the factors of 49567 and 49574 and find the biggest common factor number .

Step-1: Prime Factorization of 49567

Prime factors of 49567 are 7, 73, 97. Prime factorization of 49567 in exponential form is:

49567 = 7¹ × 73¹ × 97¹

Step-2: Prime Factorization of 49574

Prime factors of 49574 are 2, 7, 3541. Prime factorization of 49574 in exponential form is:

49574 = 2¹ × 7¹ × 3541¹

Step-3: Factors of 49567

List of positive integer factors of 49567 that divides 49567 without a remainder.

1, 7, 73, 97, 511, 679, 7081

Step-4: Factors of 49574

List of positive integer factors of 49574 that divides 49567 without a remainder.

1, 2, 7, 14, 3541, 7082, 24787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49567 and 49574. The biggest common factor number is the GCF number.
So the greatest common factor 49567 and 49574 is 7.

Also check out the Least Common Multiple of 49567 and 49574