What is the Greatest Common Factor of 80892 and 80906?

Greatest common factor (GCF) of 80892 and 80906 is 14.

GCF(80892,80906) = 14

We will now calculate the prime factors of 80892 and 80906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80892 and 80906.

How to find the GCF of 80892 and 80906?

We will first find the prime factorization of 80892 and 80906. After we will calculate the factors of 80892 and 80906 and find the biggest common factor number .

Step-1: Prime Factorization of 80892

Prime factors of 80892 are 2, 3, 7, 107. Prime factorization of 80892 in exponential form is:

80892 = 2² × 3³ × 7¹ × 107¹

Step-2: Prime Factorization of 80906

Prime factors of 80906 are 2, 7, 5779. Prime factorization of 80906 in exponential form is:

80906 = 2¹ × 7¹ × 5779¹

Step-3: Factors of 80892

List of positive integer factors of 80892 that divides 80892 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 107, 108, 126, 189, 214, 252, 321, 378, 428, 642, 749, 756, 963, 1284, 1498, 1926, 2247, 2889, 2996, 3852, 4494, 5778, 6741, 8988, 11556, 13482, 20223, 26964, 40446

Step-4: Factors of 80906

List of positive integer factors of 80906 that divides 80892 without a remainder.

1, 2, 7, 14, 5779, 11558, 40453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80892 and 80906. The biggest common factor number is the GCF number.
So the greatest common factor 80892 and 80906 is 14.

Also check out the Least Common Multiple of 80892 and 80906