What is the Greatest Common Factor of 32970 and 32981?

Greatest common factor (GCF) of 32970 and 32981 is 1.

GCF(32970,32981) = 1

We will now calculate the prime factors of 32970 and 32981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32970 and 32981.

How to find the GCF of 32970 and 32981?

We will first find the prime factorization of 32970 and 32981. After we will calculate the factors of 32970 and 32981 and find the biggest common factor number .

Step-1: Prime Factorization of 32970

Prime factors of 32970 are 2, 3, 5, 7, 157. Prime factorization of 32970 in exponential form is:

32970 = 2¹ × 3¹ × 5¹ × 7¹ × 157¹

Step-2: Prime Factorization of 32981

Prime factors of 32981 are 13, 43, 59. Prime factorization of 32981 in exponential form is:

32981 = 13¹ × 43¹ × 59¹

Step-3: Factors of 32970

List of positive integer factors of 32970 that divides 32970 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 157, 210, 314, 471, 785, 942, 1099, 1570, 2198, 2355, 3297, 4710, 5495, 6594, 10990, 16485

Step-4: Factors of 32981

List of positive integer factors of 32981 that divides 32970 without a remainder.

1, 13, 43, 59, 559, 767, 2537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32970 and 32981. The biggest common factor number is the GCF number.
So the greatest common factor 32970 and 32981 is 1.

Also check out the Least Common Multiple of 32970 and 32981