What is the Greatest Common Factor of 22072 and 22085?

Greatest common factor (GCF) of 22072 and 22085 is 1.

GCF(22072,22085) = 1

We will now calculate the prime factors of 22072 and 22085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22072 and 22085.

How to find the GCF of 22072 and 22085?

We will first find the prime factorization of 22072 and 22085. After we will calculate the factors of 22072 and 22085 and find the biggest common factor number .

Step-1: Prime Factorization of 22072

Prime factors of 22072 are 2, 31, 89. Prime factorization of 22072 in exponential form is:

22072 = 2³ × 31¹ × 89¹

Step-2: Prime Factorization of 22085

Prime factors of 22085 are 5, 7, 631. Prime factorization of 22085 in exponential form is:

22085 = 5¹ × 7¹ × 631¹

Step-3: Factors of 22072

List of positive integer factors of 22072 that divides 22072 without a remainder.

1, 2, 4, 8, 31, 62, 89, 124, 178, 248, 356, 712, 2759, 5518, 11036

Step-4: Factors of 22085

List of positive integer factors of 22085 that divides 22072 without a remainder.

1, 5, 7, 35, 631, 3155, 4417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22072 and 22085. The biggest common factor number is the GCF number.
So the greatest common factor 22072 and 22085 is 1.

Also check out the Least Common Multiple of 22072 and 22085