What is the Greatest Common Factor of 907 and 922?

Greatest common factor (GCF) of 907 and 922 is 1.

GCF(907,922) = 1

We will now calculate the prime factors of 907 and 922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 907 and 922.

How to find the GCF of 907 and 922?

We will first find the prime factorization of 907 and 922. After we will calculate the factors of 907 and 922 and find the biggest common factor number .

Step-1: Prime Factorization of 907

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

907 = 907¹

Step-2: Prime Factorization of 922

Prime factors of 922 are 2, 461. Prime factorization of 922 in exponential form is:

922 = 2¹ × 461¹

Step-3: Factors of 907

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

Step-4: Factors of 922

List of positive integer factors of 922 that divides 907 without a remainder.

1, 2, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 907 and 922. The biggest common factor number is the GCF number.
So the greatest common factor 907 and 922 is 1.

Also check out the Least Common Multiple of 907 and 922