What is the Greatest Common Factor of 902 and 907?

Greatest common factor (GCF) of 902 and 907 is 1.

GCF(902,907) = 1

We will now calculate the prime factors of 902 and 907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 902 and 907.

How to find the GCF of 902 and 907?

We will first find the prime factorization of 902 and 907. After we will calculate the factors of 902 and 907 and find the biggest common factor number .

Step-1: Prime Factorization of 902

Prime factors of 902 are 2, 11, 41. Prime factorization of 902 in exponential form is:

902 = 2¹ × 11¹ × 41¹

Step-2: Prime Factorization of 907

Prime factors of 907 are 907. Prime factorization of 907 in exponential form is:

907 = 907¹

Step-3: Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451

Step-4: Factors of 907

List of positive integer factors of 907 that divides 902 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 902 and 907. The biggest common factor number is the GCF number.
So the greatest common factor 902 and 907 is 1.

Also check out the Least Common Multiple of 902 and 907