What is the Greatest Common Factor of 48769 and 48776?

Greatest common factor (GCF) of 48769 and 48776 is 7.

GCF(48769,48776) = 7

We will now calculate the prime factors of 48769 and 48776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48769 and 48776.

How to find the GCF of 48769 and 48776?

We will first find the prime factorization of 48769 and 48776. After we will calculate the factors of 48769 and 48776 and find the biggest common factor number .

Step-1: Prime Factorization of 48769

Prime factors of 48769 are 7, 6967. Prime factorization of 48769 in exponential form is:

48769 = 7¹ × 6967¹

Step-2: Prime Factorization of 48776

Prime factors of 48776 are 2, 7, 13, 67. Prime factorization of 48776 in exponential form is:

48776 = 2³ × 7¹ × 13¹ × 67¹

Step-3: Factors of 48769

List of positive integer factors of 48769 that divides 48769 without a remainder.

1, 7, 6967

Step-4: Factors of 48776

List of positive integer factors of 48776 that divides 48769 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 67, 91, 104, 134, 182, 268, 364, 469, 536, 728, 871, 938, 1742, 1876, 3484, 3752, 6097, 6968, 12194, 24388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48769 and 48776. The biggest common factor number is the GCF number.
So the greatest common factor 48769 and 48776 is 7.

Also check out the Least Common Multiple of 48769 and 48776