What is the Greatest Common Factor of 82954 and 82967?

Greatest common factor (GCF) of 82954 and 82967 is 1.

GCF(82954,82967) = 1

We will now calculate the prime factors of 82954 and 82967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82954 and 82967.

How to find the GCF of 82954 and 82967?

We will first find the prime factorization of 82954 and 82967. After we will calculate the factors of 82954 and 82967 and find the biggest common factor number .

Step-1: Prime Factorization of 82954

Prime factors of 82954 are 2, 19, 37, 59. Prime factorization of 82954 in exponential form is:

82954 = 2¹ × 19¹ × 37¹ × 59¹

Step-2: Prime Factorization of 82967

Prime factors of 82967 are 163, 509. Prime factorization of 82967 in exponential form is:

82967 = 163¹ × 509¹

Step-3: Factors of 82954

List of positive integer factors of 82954 that divides 82954 without a remainder.

1, 2, 19, 37, 38, 59, 74, 118, 703, 1121, 1406, 2183, 2242, 4366, 41477

Step-4: Factors of 82967

List of positive integer factors of 82967 that divides 82954 without a remainder.

1, 163, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82954 and 82967. The biggest common factor number is the GCF number.
So the greatest common factor 82954 and 82967 is 1.

Also check out the Least Common Multiple of 82954 and 82967