What is the Greatest Common Factor of 69020 and 69037?

Greatest common factor (GCF) of 69020 and 69037 is 17.

GCF(69020,69037) = 17

We will now calculate the prime factors of 69020 and 69037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69020 and 69037.

How to find the GCF of 69020 and 69037?

We will first find the prime factorization of 69020 and 69037. After we will calculate the factors of 69020 and 69037 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 69037

Prime factors of 69037 are 17, 31, 131. Prime factorization of 69037 in exponential form is:

69037 = 17¹ × 31¹ × 131¹

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 69037

List of positive integer factors of 69037 that divides 69020 without a remainder.

1, 17, 31, 131, 527, 2227, 4061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69020 and 69037. The biggest common factor number is the GCF number.
So the greatest common factor 69020 and 69037 is 17.

Also check out the Least Common Multiple of 69020 and 69037