What is the Greatest Common Factor of 46770 and 46787?

Greatest common factor (GCF) of 46770 and 46787 is 1.

GCF(46770,46787) = 1

We will now calculate the prime factors of 46770 and 46787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46770 and 46787.

How to find the GCF of 46770 and 46787?

We will first find the prime factorization of 46770 and 46787. After we will calculate the factors of 46770 and 46787 and find the biggest common factor number .

Step-1: Prime Factorization of 46770

Prime factors of 46770 are 2, 3, 5, 1559. Prime factorization of 46770 in exponential form is:

46770 = 2¹ × 3¹ × 5¹ × 1559¹

Step-2: Prime Factorization of 46787

Prime factors of 46787 are 13, 59, 61. Prime factorization of 46787 in exponential form is:

46787 = 13¹ × 59¹ × 61¹

Step-3: Factors of 46770

List of positive integer factors of 46770 that divides 46770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1559, 3118, 4677, 7795, 9354, 15590, 23385

Step-4: Factors of 46787

List of positive integer factors of 46787 that divides 46770 without a remainder.

1, 13, 59, 61, 767, 793, 3599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46770 and 46787. The biggest common factor number is the GCF number.
So the greatest common factor 46770 and 46787 is 1.

Also check out the Least Common Multiple of 46770 and 46787