What is the Greatest Common Factor of 80452 and 80464?

Greatest common factor (GCF) of 80452 and 80464 is 4.

GCF(80452,80464) = 4

We will now calculate the prime factors of 80452 and 80464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80452 and 80464.

How to find the GCF of 80452 and 80464?

We will first find the prime factorization of 80452 and 80464. After we will calculate the factors of 80452 and 80464 and find the biggest common factor number .

Step-1: Prime Factorization of 80452

Prime factors of 80452 are 2, 20113. Prime factorization of 80452 in exponential form is:

80452 = 2² × 20113¹

Step-2: Prime Factorization of 80464

Prime factors of 80464 are 2, 47, 107. Prime factorization of 80464 in exponential form is:

80464 = 2⁴ × 47¹ × 107¹

Step-3: Factors of 80452

List of positive integer factors of 80452 that divides 80452 without a remainder.

1, 2, 4, 20113, 40226

Step-4: Factors of 80464

List of positive integer factors of 80464 that divides 80452 without a remainder.

1, 2, 4, 8, 16, 47, 94, 107, 188, 214, 376, 428, 752, 856, 1712, 5029, 10058, 20116, 40232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80452 and 80464. The biggest common factor number is the GCF number.
So the greatest common factor 80452 and 80464 is 4.

Also check out the Least Common Multiple of 80452 and 80464