What is the Greatest Common Factor of 53094 and 53104?

Greatest common factor (GCF) of 53094 and 53104 is 2.

GCF(53094,53104) = 2

We will now calculate the prime factors of 53094 and 53104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53094 and 53104.

How to find the GCF of 53094 and 53104?

We will first find the prime factorization of 53094 and 53104. After we will calculate the factors of 53094 and 53104 and find the biggest common factor number .

Step-1: Prime Factorization of 53094

Prime factors of 53094 are 2, 3, 8849. Prime factorization of 53094 in exponential form is:

53094 = 2¹ × 3¹ × 8849¹

Step-2: Prime Factorization of 53104

Prime factors of 53104 are 2, 3319. Prime factorization of 53104 in exponential form is:

53104 = 2⁴ × 3319¹

Step-3: Factors of 53094

List of positive integer factors of 53094 that divides 53094 without a remainder.

1, 2, 3, 6, 8849, 17698, 26547

Step-4: Factors of 53104

List of positive integer factors of 53104 that divides 53094 without a remainder.

1, 2, 4, 8, 16, 3319, 6638, 13276, 26552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53094 and 53104. The biggest common factor number is the GCF number.
So the greatest common factor 53094 and 53104 is 2.

Also check out the Least Common Multiple of 53094 and 53104