What is the Greatest Common Factor of 69020 and 69034?

Greatest common factor (GCF) of 69020 and 69034 is 14.

GCF(69020,69034) = 14

We will now calculate the prime factors of 69020 and 69034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69020 and 69034.

How to find the GCF of 69020 and 69034?

We will first find the prime factorization of 69020 and 69034. After we will calculate the factors of 69020 and 69034 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 69034

Prime factors of 69034 are 2, 7, 4931. Prime factorization of 69034 in exponential form is:

69034 = 2¹ × 7¹ × 4931¹

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 69034

List of positive integer factors of 69034 that divides 69020 without a remainder.

1, 2, 7, 14, 4931, 9862, 34517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69020 and 69034. The biggest common factor number is the GCF number.
So the greatest common factor 69020 and 69034 is 14.

Also check out the Least Common Multiple of 69020 and 69034