What is the Greatest Common Factor of 85096 and 85104?

Greatest common factor (GCF) of 85096 and 85104 is 8.

GCF(85096,85104) = 8

We will now calculate the prime factors of 85096 and 85104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85096 and 85104.

How to find the GCF of 85096 and 85104?

We will first find the prime factorization of 85096 and 85104. After we will calculate the factors of 85096 and 85104 and find the biggest common factor number .

Step-1: Prime Factorization of 85096

Prime factors of 85096 are 2, 11, 967. Prime factorization of 85096 in exponential form is:

85096 = 2³ × 11¹ × 967¹

Step-2: Prime Factorization of 85104

Prime factors of 85104 are 2, 3, 197. Prime factorization of 85104 in exponential form is:

85104 = 2⁴ × 3³ × 197¹

Step-3: Factors of 85096

List of positive integer factors of 85096 that divides 85096 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 967, 1934, 3868, 7736, 10637, 21274, 42548

Step-4: Factors of 85104

List of positive integer factors of 85104 that divides 85096 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 197, 216, 394, 432, 591, 788, 1182, 1576, 1773, 2364, 3152, 3546, 4728, 5319, 7092, 9456, 10638, 14184, 21276, 28368, 42552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85096 and 85104. The biggest common factor number is the GCF number.
So the greatest common factor 85096 and 85104 is 8.

Also check out the Least Common Multiple of 85096 and 85104