What is the Greatest Common Factor of 84254 and 84264?

Greatest common factor (GCF) of 84254 and 84264 is 2.

GCF(84254,84264) = 2

We will now calculate the prime factors of 84254 and 84264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84254 and 84264.

How to find the GCF of 84254 and 84264?

We will first find the prime factorization of 84254 and 84264. After we will calculate the factors of 84254 and 84264 and find the biggest common factor number .

Step-1: Prime Factorization of 84254

Prime factors of 84254 are 2, 103, 409. Prime factorization of 84254 in exponential form is:

84254 = 2¹ × 103¹ × 409¹

Step-2: Prime Factorization of 84264

Prime factors of 84264 are 2, 3, 3511. Prime factorization of 84264 in exponential form is:

84264 = 2³ × 3¹ × 3511¹

Step-3: Factors of 84254

List of positive integer factors of 84254 that divides 84254 without a remainder.

1, 2, 103, 206, 409, 818, 42127

Step-4: Factors of 84264

List of positive integer factors of 84264 that divides 84254 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3511, 7022, 10533, 14044, 21066, 28088, 42132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84254 and 84264. The biggest common factor number is the GCF number.
So the greatest common factor 84254 and 84264 is 2.

Also check out the Least Common Multiple of 84254 and 84264