What is the Greatest Common Factor of 76936 and 76945?

Greatest common factor (GCF) of 76936 and 76945 is 1.

GCF(76936,76945) = 1

We will now calculate the prime factors of 76936 and 76945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76936 and 76945.

How to find the GCF of 76936 and 76945?

We will first find the prime factorization of 76936 and 76945. After we will calculate the factors of 76936 and 76945 and find the biggest common factor number .

Step-1: Prime Factorization of 76936

Prime factors of 76936 are 2, 59, 163. Prime factorization of 76936 in exponential form is:

76936 = 2³ × 59¹ × 163¹

Step-2: Prime Factorization of 76945

Prime factors of 76945 are 5, 11, 1399. Prime factorization of 76945 in exponential form is:

76945 = 5¹ × 11¹ × 1399¹

Step-3: Factors of 76936

List of positive integer factors of 76936 that divides 76936 without a remainder.

1, 2, 4, 8, 59, 118, 163, 236, 326, 472, 652, 1304, 9617, 19234, 38468

Step-4: Factors of 76945

List of positive integer factors of 76945 that divides 76936 without a remainder.

1, 5, 11, 55, 1399, 6995, 15389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76936 and 76945. The biggest common factor number is the GCF number.
So the greatest common factor 76936 and 76945 is 1.

Also check out the Least Common Multiple of 76936 and 76945