What is the Greatest Common Factor of 49552 and 49567?

Greatest common factor (GCF) of 49552 and 49567 is 1.

GCF(49552,49567) = 1

We will now calculate the prime factors of 49552 and 49567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49552 and 49567.

How to find the GCF of 49552 and 49567?

We will first find the prime factorization of 49552 and 49567. After we will calculate the factors of 49552 and 49567 and find the biggest common factor number .

Step-1: Prime Factorization of 49552

Prime factors of 49552 are 2, 19, 163. Prime factorization of 49552 in exponential form is:

49552 = 2⁴ × 19¹ × 163¹

Step-2: 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-3: Factors of 49552

List of positive integer factors of 49552 that divides 49552 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 163, 304, 326, 652, 1304, 2608, 3097, 6194, 12388, 24776

Step-4: Factors of 49567

List of positive integer factors of 49567 that divides 49552 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49552 and 49567. The biggest common factor number is the GCF number.
So the greatest common factor 49552 and 49567 is 1.

Also check out the Least Common Multiple of 49552 and 49567