What is the Greatest Common Factor of 79509 and 79520?

Greatest common factor (GCF) of 79509 and 79520 is 1.

GCF(79509,79520) = 1

We will now calculate the prime factors of 79509 and 79520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79509 and 79520.

How to find the GCF of 79509 and 79520?

We will first find the prime factorization of 79509 and 79520. After we will calculate the factors of 79509 and 79520 and find the biggest common factor number .

Step-1: Prime Factorization of 79509

Prime factors of 79509 are 3, 17, 1559. Prime factorization of 79509 in exponential form is:

79509 = 3¹ × 17¹ × 1559¹

Step-2: Prime Factorization of 79520

Prime factors of 79520 are 2, 5, 7, 71. Prime factorization of 79520 in exponential form is:

79520 = 2⁵ × 5¹ × 7¹ × 71¹

Step-3: Factors of 79509

List of positive integer factors of 79509 that divides 79509 without a remainder.

1, 3, 17, 51, 1559, 4677, 26503

Step-4: Factors of 79520

List of positive integer factors of 79520 that divides 79509 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 71, 80, 112, 140, 142, 160, 224, 280, 284, 355, 497, 560, 568, 710, 994, 1120, 1136, 1420, 1988, 2272, 2485, 2840, 3976, 4970, 5680, 7952, 9940, 11360, 15904, 19880, 39760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79509 and 79520. The biggest common factor number is the GCF number.
So the greatest common factor 79509 and 79520 is 1.

Also check out the Least Common Multiple of 79509 and 79520