What is the Greatest Common Factor of 69020 and 69032?

Greatest common factor (GCF) of 69020 and 69032 is 4.

GCF(69020,69032) = 4

We will now calculate the prime factors of 69020 and 69032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69020 and 69032.

How to find the GCF of 69020 and 69032?

We will first find the prime factorization of 69020 and 69032. After we will calculate the factors of 69020 and 69032 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 69032

Prime factors of 69032 are 2, 8629. Prime factorization of 69032 in exponential form is:

69032 = 2³ × 8629¹

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 69032

List of positive integer factors of 69032 that divides 69020 without a remainder.

1, 2, 4, 8, 8629, 17258, 34516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69020 and 69032. The biggest common factor number is the GCF number.
So the greatest common factor 69020 and 69032 is 4.

Also check out the Least Common Multiple of 69020 and 69032