What is the Greatest Common Factor of 69020 and 69026?

Greatest common factor (GCF) of 69020 and 69026 is 2.

GCF(69020,69026) = 2

We will now calculate the prime factors of 69020 and 69026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69020 and 69026.

How to find the GCF of 69020 and 69026?

We will first find the prime factorization of 69020 and 69026. After we will calculate the factors of 69020 and 69026 and find the biggest common factor number .

Step-1: Prime Factorization of 69020

Prime factors of 69020 are 2, 5, 7, 17, 29. Prime factorization of 69020 in exponential form is:

69020 = 2² × 5¹ × 7¹ × 17¹ × 29¹

Step-2: Prime Factorization of 69026

Prime factors of 69026 are 2, 34513. Prime factorization of 69026 in exponential form is:

69026 = 2¹ × 34513¹

Step-3: Factors of 69020

List of positive integer factors of 69020 that divides 69020 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 29, 34, 35, 58, 68, 70, 85, 116, 119, 140, 145, 170, 203, 238, 290, 340, 406, 476, 493, 580, 595, 812, 986, 1015, 1190, 1972, 2030, 2380, 2465, 3451, 4060, 4930, 6902, 9860, 13804, 17255, 34510

Step-4: Factors of 69026

List of positive integer factors of 69026 that divides 69020 without a remainder.

1, 2, 34513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69020 and 69026. The biggest common factor number is the GCF number.
So the greatest common factor 69020 and 69026 is 2.

Also check out the Least Common Multiple of 69020 and 69026