What is the Greatest Common Factor of 46433 and 46452?

Greatest common factor (GCF) of 46433 and 46452 is 1.

GCF(46433,46452) = 1

We will now calculate the prime factors of 46433 and 46452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46433 and 46452.

How to find the GCF of 46433 and 46452?

We will first find the prime factorization of 46433 and 46452. After we will calculate the factors of 46433 and 46452 and find the biggest common factor number .

Step-1: Prime Factorization of 46433

Prime factors of 46433 are 59, 787. Prime factorization of 46433 in exponential form is:

46433 = 59¹ × 787¹

Step-2: Prime Factorization of 46452

Prime factors of 46452 are 2, 3, 7, 79. Prime factorization of 46452 in exponential form is:

46452 = 2² × 3¹ × 7² × 79¹

Step-3: Factors of 46433

List of positive integer factors of 46433 that divides 46433 without a remainder.

1, 59, 787

Step-4: Factors of 46452

List of positive integer factors of 46452 that divides 46433 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 79, 84, 98, 147, 158, 196, 237, 294, 316, 474, 553, 588, 948, 1106, 1659, 2212, 3318, 3871, 6636, 7742, 11613, 15484, 23226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46433 and 46452. The biggest common factor number is the GCF number.
So the greatest common factor 46433 and 46452 is 1.

Also check out the Least Common Multiple of 46433 and 46452